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A and B working together can complete 45% of a work in 18 days. A alone can complete the same work in 60 days. A and B
work together for 16 days, and then A leaves. B alone will complete the remaining work in:
80 days
60 days
72 days
75 days
- A and B together complete 45% of the work in 18 days.
- This means they would complete 100% in 180.45=40 days.
- Therefore, A and B's combined daily work rate is 140 of the work.
- A alone can complete the work in 60 days, so A's daily work rate is 160.
- The daily work rate of B alone, therefore, is 140−160=1120.
- A and B work together for 16 days, completing 16×140=0.4 or 40% of the work.
- 40% of work is left, since they initially completed 45% and now worked for 16 more days doing 40%.
- B alone will take 0.601120=72 days to finish 60%.
Correct Answer: Option 3 - 72 days.
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